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Finding the Fourth Proportional to 65,277, 97,901.76 and 31,963.50

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Solution

The fourth proportional to 65,277, 97,901.76 and 31,963.50 is: 47,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,277 : 97,901.76 = 31,963.50 : x
  2. Step 2: Convert to fraction form
    65,277/97,901.76 = 31,963.50/x
  3. Step 3: Cross multiply
    65,277x = 97,901.76 × 31,963.50
  4. Step 4: Simplify right side
    65,277x = 3,129,282,905.76
  5. Step 5: Solve for x
    x = 3,129,282,905.76/65,277
  6. Step 6: Final answer
    x = 47,938.52

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1.5x scale

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.