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Finding the Fourth Proportional to 65,970.48, 91,159.76 and 48,034.20

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Solution

The fourth proportional to 65,970.48, 91,159.76 and 48,034.20 is: 66,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970.48 : 91,159.76 = 48,034.20 : x
  2. Step 2: Convert to fraction form
    65,970.48/91,159.76 = 48,034.20/x
  3. Step 3: Cross multiply
    65,970.48x = 91,159.76 × 48,034.20
  4. Step 4: Simplify right side
    65,970.48x = 4,378,786,143.79
  5. Step 5: Solve for x
    x = 4,378,786,143.79/65,970.48
  6. Step 6: Final answer
    x = 66,374.93

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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.