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Finding the Fourth Proportional to 103,952, 155,953.98 and 30,080

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Solution

The fourth proportional to 103,952, 155,953.98 and 30,080 is: 45,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952 : 155,953.98 = 30,080 : x
  2. Step 2: Convert to fraction form
    103,952/155,953.98 = 30,080/x
  3. Step 3: Cross multiply
    103,952x = 155,953.98 × 30,080
  4. Step 4: Simplify right side
    103,952x = 4,691,095,718.40
  5. Step 5: Solve for x
    x = 4,691,095,718.40/103,952
  6. Step 6: Final answer
    x = 45,127.52

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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.