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Finding the Fourth Proportional to 134,897.36, 186,158.32 and 74,468

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Solution

The fourth proportional to 134,897.36, 186,158.32 and 74,468 is: 102,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,897.36 : 186,158.32 = 74,468 : x
  2. Step 2: Convert to fraction form
    134,897.36/186,158.32 = 74,468/x
  3. Step 3: Cross multiply
    134,897.36x = 186,158.32 × 74,468
  4. Step 4: Simplify right side
    134,897.36x = 13,862,837,773.76
  5. Step 5: Solve for x
    x = 13,862,837,773.76/134,897.36
  6. Step 6: Final answer
    x = 102,765.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.