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Finding the Fourth Proportional to 65,643.32, 90,710.40 and 53,702.30

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Solution

The fourth proportional to 65,643.32, 90,710.40 and 53,702.30 is: 74,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.32 : 90,710.40 = 53,702.30 : x
  2. Step 2: Convert to fraction form
    65,643.32/90,710.40 = 53,702.30/x
  3. Step 3: Cross multiply
    65,643.32x = 90,710.40 × 53,702.30
  4. Step 4: Simplify right side
    65,643.32x = 4,871,357,113.92
  5. Step 5: Solve for x
    x = 4,871,357,113.92/65,643.32
  6. Step 6: Final answer
    x = 74,209.49

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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.