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Finding the Fourth Proportional to 10,648,764.16, 15,987,331.32 and 7,202,078.86

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Solution

The fourth proportional to 10,648,764.16, 15,987,331.32 and 7,202,078.86 is: 10,812,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,764.16 : 15,987,331.32 = 7,202,078.86 : x
  2. Step 2: Convert to fraction form
    10,648,764.16/15,987,331.32 = 7,202,078.86/x
  3. Step 3: Cross multiply
    10,648,764.16x = 15,987,331.32 × 7,202,078.86
  4. Step 4: Simplify right side
    10,648,764.16x = 115,142,020,927,587.91
  5. Step 5: Solve for x
    x = 115,142,020,927,587.91/10,648,764.16
  6. Step 6: Final answer
    x = 10,812,712.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.