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Finding the Fourth Proportional to 142,429.60, 213,644.40 and 139,664.80

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Solution

The fourth proportional to 142,429.60, 213,644.40 and 139,664.80 is: 209,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,429.60 : 213,644.40 = 139,664.80 : x
  2. Step 2: Convert to fraction form
    142,429.60/213,644.40 = 139,664.80/x
  3. Step 3: Cross multiply
    142,429.60x = 213,644.40 × 139,664.80
  4. Step 4: Simplify right side
    142,429.60x = 29,838,602,397.12
  5. Step 5: Solve for x
    x = 29,838,602,397.12/142,429.60
  6. Step 6: Final answer
    x = 209,497.20

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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.