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Finding the Fourth Proportional to 77,275.40, 115,913.10 and 21,871.88

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Solution

The fourth proportional to 77,275.40, 115,913.10 and 21,871.88 is: 32,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.40 : 115,913.10 = 21,871.88 : x
  2. Step 2: Convert to fraction form
    77,275.40/115,913.10 = 21,871.88/x
  3. Step 3: Cross multiply
    77,275.40x = 115,913.10 × 21,871.88
  4. Step 4: Simplify right side
    77,275.40x = 2,535,237,413.63
  5. Step 5: Solve for x
    x = 2,535,237,413.63/77,275.40
  6. Step 6: Final answer
    x = 32,807.82

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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.