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Finding the Fourth Proportional to 105,507.59, 145,577.20 and 62,465.71

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Solution

The fourth proportional to 105,507.59, 145,577.20 and 62,465.71 is: 86,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507.59 : 145,577.20 = 62,465.71 : x
  2. Step 2: Convert to fraction form
    105,507.59/145,577.20 = 62,465.71/x
  3. Step 3: Cross multiply
    105,507.59x = 145,577.20 × 62,465.71
  4. Step 4: Simplify right side
    105,507.59x = 9,093,583,157.81
  5. Step 5: Solve for x
    x = 9,093,583,157.81/105,507.59
  6. Step 6: Final answer
    x = 86,188.90

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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.