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Finding the Fourth Proportional to 105,138.52, 145,069.50 and 60,417.88

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Solution

The fourth proportional to 105,138.52, 145,069.50 and 60,417.88 is: 83,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.52 : 145,069.50 = 60,417.88 : x
  2. Step 2: Convert to fraction form
    105,138.52/145,069.50 = 60,417.88/x
  3. Step 3: Cross multiply
    105,138.52x = 145,069.50 × 60,417.88
  4. Step 4: Simplify right side
    105,138.52x = 8,764,791,642.66
  5. Step 5: Solve for x
    x = 8,764,791,642.66/105,138.52
  6. Step 6: Final answer
    x = 83,364.23

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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.