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Finding the Fourth Proportional to 145,029, 217,543.50 and 51,538.44

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Solution

The fourth proportional to 145,029, 217,543.50 and 51,538.44 is: 77,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,029 : 217,543.50 = 51,538.44 : x
  2. Step 2: Convert to fraction form
    145,029/217,543.50 = 51,538.44/x
  3. Step 3: Cross multiply
    145,029x = 217,543.50 × 51,538.44
  4. Step 4: Simplify right side
    145,029x = 11,211,852,622.14
  5. Step 5: Solve for x
    x = 11,211,852,622.14/145,029
  6. Step 6: Final answer
    x = 77,307.66

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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.