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Finding the Fourth Proportional to 292,139.40, 438,176.70 and 81,798.60

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Solution

The fourth proportional to 292,139.40, 438,176.70 and 81,798.60 is: 122,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.40 : 438,176.70 = 81,798.60 : x
  2. Step 2: Convert to fraction form
    292,139.40/438,176.70 = 81,798.60/x
  3. Step 3: Cross multiply
    292,139.40x = 438,176.70 × 81,798.60
  4. Step 4: Simplify right side
    292,139.40x = 35,842,240,612.62
  5. Step 5: Solve for x
    x = 35,842,240,612.62/292,139.40
  6. Step 6: Final answer
    x = 122,688.83

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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.