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Finding the Fourth Proportional to 145,876.86, 218,838.65 and 61,637.85

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Solution

The fourth proportional to 145,876.86, 218,838.65 and 61,637.85 is: 92,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876.86 : 218,838.65 = 61,637.85 : x
  2. Step 2: Convert to fraction form
    145,876.86/218,838.65 = 61,637.85/x
  3. Step 3: Cross multiply
    145,876.86x = 218,838.65 × 61,637.85
  4. Step 4: Simplify right side
    145,876.86x = 13,488,743,574.71
  5. Step 5: Solve for x
    x = 13,488,743,574.71/145,876.86
  6. Step 6: Final answer
    x = 92,466.64

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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.