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Finding the Fourth Proportional to 145,642.69, 218,548.95 and 61,397.70

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Solution

The fourth proportional to 145,642.69, 218,548.95 and 61,397.70 is: 92,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,642.69 : 218,548.95 = 61,397.70 : x
  2. Step 2: Convert to fraction form
    145,642.69/218,548.95 = 61,397.70/x
  3. Step 3: Cross multiply
    145,642.69x = 218,548.95 × 61,397.70
  4. Step 4: Simplify right side
    145,642.69x = 13,418,402,867.42
  5. Step 5: Solve for x
    x = 13,418,402,867.42/145,642.69
  6. Step 6: Final answer
    x = 92,132.35

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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.