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Finding the Fourth Proportional to 145,886.78, 218,841.45 and 55,972.53

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Solution

The fourth proportional to 145,886.78, 218,841.45 and 55,972.53 is: 83,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.78 : 218,841.45 = 55,972.53 : x
  2. Step 2: Convert to fraction form
    145,886.78/218,841.45 = 55,972.53/x
  3. Step 3: Cross multiply
    145,886.78x = 218,841.45 × 55,972.53
  4. Step 4: Simplify right side
    145,886.78x = 12,249,109,625.37
  5. Step 5: Solve for x
    x = 12,249,109,625.37/145,886.78
  6. Step 6: Final answer
    x = 83,963.13

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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.