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Finding the Fourth Proportional to 105,164.53, 145,125.95 and 64,862.17

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Solution

The fourth proportional to 105,164.53, 145,125.95 and 64,862.17 is: 89,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.53 : 145,125.95 = 64,862.17 : x
  2. Step 2: Convert to fraction form
    105,164.53/145,125.95 = 64,862.17/x
  3. Step 3: Cross multiply
    105,164.53x = 145,125.95 × 64,862.17
  4. Step 4: Simplify right side
    105,164.53x = 9,413,183,353.19
  5. Step 5: Solve for x
    x = 9,413,183,353.19/105,164.53
  6. Step 6: Final answer
    x = 89,509.11

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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.