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Finding the Fourth Proportional to 145,904.69, 218,793.48 and 77,501.28

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Solution

The fourth proportional to 145,904.69, 218,793.48 and 77,501.28 is: 116,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,904.69 : 218,793.48 = 77,501.28 : x
  2. Step 2: Convert to fraction form
    145,904.69/218,793.48 = 77,501.28/x
  3. Step 3: Cross multiply
    145,904.69x = 218,793.48 × 77,501.28
  4. Step 4: Simplify right side
    145,904.69x = 16,956,773,439.43
  5. Step 5: Solve for x
    x = 16,956,773,439.43/145,904.69
  6. Step 6: Final answer
    x = 116,218.15

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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.