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Finding the Fourth Proportional to 142,807.70, 214,211.55 and 109,630.10

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Solution

The fourth proportional to 142,807.70, 214,211.55 and 109,630.10 is: 164,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,807.70 : 214,211.55 = 109,630.10 : x
  2. Step 2: Convert to fraction form
    142,807.70/214,211.55 = 109,630.10/x
  3. Step 3: Cross multiply
    142,807.70x = 214,211.55 × 109,630.10
  4. Step 4: Simplify right side
    142,807.70x = 23,484,033,647.66
  5. Step 5: Solve for x
    x = 23,484,033,647.66/142,807.70
  6. Step 6: Final answer
    x = 164,445.15

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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.