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Finding the Fourth Proportional to 145,906.32, 218,795.91 and 77,502.90

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Solution

The fourth proportional to 145,906.32, 218,795.91 and 77,502.90 is: 116,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,906.32 : 218,795.91 = 77,502.90 : x
  2. Step 2: Convert to fraction form
    145,906.32/218,795.91 = 77,502.90/x
  3. Step 3: Cross multiply
    145,906.32x = 218,795.91 × 77,502.90
  4. Step 4: Simplify right side
    145,906.32x = 16,957,317,533.14
  5. Step 5: Solve for x
    x = 16,957,317,533.14/145,906.32
  6. Step 6: Final answer
    x = 116,220.58

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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.