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Finding the Fourth Proportional to 157,290, 216,908.64 and 103,508.16

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Solution

The fourth proportional to 157,290, 216,908.64 and 103,508.16 is: 142,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,290 : 216,908.64 = 103,508.16 : x
  2. Step 2: Convert to fraction form
    157,290/216,908.64 = 103,508.16/x
  3. Step 3: Cross multiply
    157,290x = 216,908.64 × 103,508.16
  4. Step 4: Simplify right side
    157,290x = 22,451,814,214.50
  5. Step 5: Solve for x
    x = 22,451,814,214.50/157,290
  6. Step 6: Final answer
    x = 142,741.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.