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Finding the Fourth Proportional to 98,370.90, 147,711.87 and 77,686.74

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Solution

The fourth proportional to 98,370.90, 147,711.87 and 77,686.74 is: 116,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,370.90 : 147,711.87 = 77,686.74 : x
  2. Step 2: Convert to fraction form
    98,370.90/147,711.87 = 77,686.74/x
  3. Step 3: Cross multiply
    98,370.90x = 147,711.87 × 77,686.74
  4. Step 4: Simplify right side
    98,370.90x = 11,475,253,639.60
  5. Step 5: Solve for x
    x = 11,475,253,639.60/98,370.90
  6. Step 6: Final answer
    x = 116,652.93

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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.