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Finding the Fourth Proportional to 438,149, 657,223.56 and 105,725

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Solution

The fourth proportional to 438,149, 657,223.56 and 105,725 is: 158,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,149 : 657,223.56 = 105,725 : x
  2. Step 2: Convert to fraction form
    438,149/657,223.56 = 105,725/x
  3. Step 3: Cross multiply
    438,149x = 657,223.56 × 105,725
  4. Step 4: Simplify right side
    438,149x = 69,484,960,881
  5. Step 5: Solve for x
    x = 69,484,960,881/438,149
  6. Step 6: Final answer
    x = 158,587.51

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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.