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Finding the Fourth Proportional to 78,951, 108,952.38 and 45,417

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Solution

The fourth proportional to 78,951, 108,952.38 and 45,417 is: 62,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,951 : 108,952.38 = 45,417 : x
  2. Step 2: Convert to fraction form
    78,951/108,952.38 = 45,417/x
  3. Step 3: Cross multiply
    78,951x = 108,952.38 × 45,417
  4. Step 4: Simplify right side
    78,951x = 4,948,290,242.46
  5. Step 5: Solve for x
    x = 4,948,290,242.46/78,951
  6. Step 6: Final answer
    x = 62,675.46

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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.