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Finding the Fourth Proportional to 101,959.30, 152,938.95 and 78,312.37

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Solution

The fourth proportional to 101,959.30, 152,938.95 and 78,312.37 is: 117,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.30 : 152,938.95 = 78,312.37 : x
  2. Step 2: Convert to fraction form
    101,959.30/152,938.95 = 78,312.37/x
  3. Step 3: Cross multiply
    101,959.30x = 152,938.95 × 78,312.37
  4. Step 4: Simplify right side
    101,959.30x = 11,977,010,875.12
  5. Step 5: Solve for x
    x = 11,977,010,875.12/101,959.30
  6. Step 6: Final answer
    x = 117,468.55

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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.