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Finding the Fourth Proportional to 119,430.96, 164,810.61 and 65,710.95

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Solution

The fourth proportional to 119,430.96, 164,810.61 and 65,710.95 is: 90,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,430.96 : 164,810.61 = 65,710.95 : x
  2. Step 2: Convert to fraction form
    119,430.96/164,810.61 = 65,710.95/x
  3. Step 3: Cross multiply
    119,430.96x = 164,810.61 × 65,710.95
  4. Step 4: Simplify right side
    119,430.96x = 10,829,861,753.18
  5. Step 5: Solve for x
    x = 10,829,861,753.18/119,430.96
  6. Step 6: Final answer
    x = 90,678.85

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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.