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Finding the Fourth Proportional to 64,963.49, 97,454.47 and 19,988.57

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Solution

The fourth proportional to 64,963.49, 97,454.47 and 19,988.57 is: 29,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,963.49 : 97,454.47 = 19,988.57 : x
  2. Step 2: Convert to fraction form
    64,963.49/97,454.47 = 19,988.57/x
  3. Step 3: Cross multiply
    64,963.49x = 97,454.47 × 19,988.57
  4. Step 4: Simplify right side
    64,963.49x = 1,947,975,670.33
  5. Step 5: Solve for x
    x = 1,947,975,670.33/64,963.49
  6. Step 6: Final answer
    x = 29,985.70

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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.