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Finding the Fourth Proportional to 102,898.76, 142,260.10 and 75,998.66

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Solution

The fourth proportional to 102,898.76, 142,260.10 and 75,998.66 is: 105,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.76 : 142,260.10 = 75,998.66 : x
  2. Step 2: Convert to fraction form
    102,898.76/142,260.10 = 75,998.66/x
  3. Step 3: Cross multiply
    102,898.76x = 142,260.10 × 75,998.66
  4. Step 4: Simplify right side
    102,898.76x = 10,811,576,070.17
  5. Step 5: Solve for x
    x = 10,811,576,070.17/102,898.76
  6. Step 6: Final answer
    x = 105,070.04

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1.5x scale

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.