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Finding the Fourth Proportional to 65,646.98, 98,470.47 and 52,437.50

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Solution

The fourth proportional to 65,646.98, 98,470.47 and 52,437.50 is: 78,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.98 : 98,470.47 = 52,437.50 : x
  2. Step 2: Convert to fraction form
    65,646.98/98,470.47 = 52,437.50/x
  3. Step 3: Cross multiply
    65,646.98x = 98,470.47 × 52,437.50
  4. Step 4: Simplify right side
    65,646.98x = 5,163,545,270.63
  5. Step 5: Solve for x
    x = 5,163,545,270.63/65,646.98
  6. Step 6: Final answer
    x = 78,656.25

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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.