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Finding the Fourth Proportional to 109,918.19, 151,678.50 and 64,597.88

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Solution

The fourth proportional to 109,918.19, 151,678.50 and 64,597.88 is: 89,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,918.19 : 151,678.50 = 64,597.88 : x
  2. Step 2: Convert to fraction form
    109,918.19/151,678.50 = 64,597.88/x
  3. Step 3: Cross multiply
    109,918.19x = 151,678.50 × 64,597.88
  4. Step 4: Simplify right side
    109,918.19x = 9,798,109,541.58
  5. Step 5: Solve for x
    x = 9,798,109,541.58/109,918.19
  6. Step 6: Final answer
    x = 89,140.02

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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.