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Finding the Fourth Proportional to 64,657.71, 97,000.52 and 19,682.58

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Solution

The fourth proportional to 64,657.71, 97,000.52 and 19,682.58 is: 29,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657.71 : 97,000.52 = 19,682.58 : x
  2. Step 2: Convert to fraction form
    64,657.71/97,000.52 = 19,682.58/x
  3. Step 3: Cross multiply
    64,657.71x = 97,000.52 × 19,682.58
  4. Step 4: Simplify right side
    64,657.71x = 1,909,220,470.34
  5. Step 5: Solve for x
    x = 1,909,220,470.34/64,657.71
  6. Step 6: Final answer
    x = 29,528.12

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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.