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Finding the Fourth Proportional to 438,090.90, 657,136.35 and 105,666.90

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Solution

The fourth proportional to 438,090.90, 657,136.35 and 105,666.90 is: 158,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,090.90 : 657,136.35 = 105,666.90 : x
  2. Step 2: Convert to fraction form
    438,090.90/657,136.35 = 105,666.90/x
  3. Step 3: Cross multiply
    438,090.90x = 657,136.35 × 105,666.90
  4. Step 4: Simplify right side
    438,090.90x = 69,437,560,981.82
  5. Step 5: Solve for x
    x = 69,437,560,981.82/438,090.90
  6. Step 6: Final answer
    x = 158,500.35

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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.