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Finding the Fourth Proportional to 147,551.06, 221,391.48 and 77,413.88

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Solution

The fourth proportional to 147,551.06, 221,391.48 and 77,413.88 is: 116,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,551.06 : 221,391.48 = 77,413.88 : x
  2. Step 2: Convert to fraction form
    147,551.06/221,391.48 = 77,413.88/x
  3. Step 3: Cross multiply
    147,551.06x = 221,391.48 × 77,413.88
  4. Step 4: Simplify right side
    147,551.06x = 17,138,773,465.74
  5. Step 5: Solve for x
    x = 17,138,773,465.74/147,551.06
  6. Step 6: Final answer
    x = 116,154.87

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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.