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Finding the Fourth Proportional to 109,904.04, 151,641.11 and 64,578.47

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Solution

The fourth proportional to 109,904.04, 151,641.11 and 64,578.47 is: 89,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.04 : 151,641.11 = 64,578.47 : x
  2. Step 2: Convert to fraction form
    109,904.04/151,641.11 = 64,578.47/x
  3. Step 3: Cross multiply
    109,904.04x = 151,641.11 × 64,578.47
  4. Step 4: Simplify right side
    109,904.04x = 9,792,750,276.14
  5. Step 5: Solve for x
    x = 9,792,750,276.14/109,904.04
  6. Step 6: Final answer
    x = 89,102.73

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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.