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Finding the Fourth Proportional to 138,666.64, 208,000.57 and 43,897.29

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Solution

The fourth proportional to 138,666.64, 208,000.57 and 43,897.29 is: 65,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,666.64 : 208,000.57 = 43,897.29 : x
  2. Step 2: Convert to fraction form
    138,666.64/208,000.57 = 43,897.29/x
  3. Step 3: Cross multiply
    138,666.64x = 208,000.57 × 43,897.29
  4. Step 4: Simplify right side
    138,666.64x = 9,130,661,341.46
  5. Step 5: Solve for x
    x = 9,130,661,341.46/138,666.64
  6. Step 6: Final answer
    x = 65,846.13

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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.