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Finding the Fourth Proportional to 278,064.40, 416,941.08 and 91,060.24

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Solution

The fourth proportional to 278,064.40, 416,941.08 and 91,060.24 is: 136,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,064.40 : 416,941.08 = 91,060.24 : x
  2. Step 2: Convert to fraction form
    278,064.40/416,941.08 = 91,060.24/x
  3. Step 3: Cross multiply
    278,064.40x = 416,941.08 × 91,060.24
  4. Step 4: Simplify right side
    278,064.40x = 37,966,754,810.66
  5. Step 5: Solve for x
    x = 37,966,754,810.66/278,064.40
  6. Step 6: Final answer
    x = 136,539.43

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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.