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Finding the Fourth Proportional to 77,448.76, 116,159.72 and 21,275.48

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Solution

The fourth proportional to 77,448.76, 116,159.72 and 21,275.48 is: 31,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,448.76 : 116,159.72 = 21,275.48 : x
  2. Step 2: Convert to fraction form
    77,448.76/116,159.72 = 21,275.48/x
  3. Step 3: Cross multiply
    77,448.76x = 116,159.72 × 21,275.48
  4. Step 4: Simplify right side
    77,448.76x = 2,471,353,799.67
  5. Step 5: Solve for x
    x = 2,471,353,799.67/77,448.76
  6. Step 6: Final answer
    x = 31,909.53

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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.