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Finding the Fourth Proportional to 119,155.64, 164,436.62 and 65,442.84

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Solution

The fourth proportional to 119,155.64, 164,436.62 and 65,442.84 is: 90,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,155.64 : 164,436.62 = 65,442.84 : x
  2. Step 2: Convert to fraction form
    119,155.64/164,436.62 = 65,442.84/x
  3. Step 3: Cross multiply
    119,155.64x = 164,436.62 × 65,442.84
  4. Step 4: Simplify right side
    119,155.64x = 10,761,199,412.80
  5. Step 5: Solve for x
    x = 10,761,199,412.80/119,155.64
  6. Step 6: Final answer
    x = 90,312.13

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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.