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Finding the Fourth Proportional to 101,521.95, 152,258.31 and 42,358.11

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Solution

The fourth proportional to 101,521.95, 152,258.31 and 42,358.11 is: 63,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,521.95 : 152,258.31 = 42,358.11 : x
  2. Step 2: Convert to fraction form
    101,521.95/152,258.31 = 42,358.11/x
  3. Step 3: Cross multiply
    101,521.95x = 152,258.31 × 42,358.11
  4. Step 4: Simplify right side
    101,521.95x = 6,449,374,243.39
  5. Step 5: Solve for x
    x = 6,449,374,243.39/101,521.95
  6. Step 6: Final answer
    x = 63,526.89

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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.