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Finding the Fourth Proportional to 129,032, 178,064.16 and 72,443.36

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Solution

The fourth proportional to 129,032, 178,064.16 and 72,443.36 is: 99,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,032 : 178,064.16 = 72,443.36 : x
  2. Step 2: Convert to fraction form
    129,032/178,064.16 = 72,443.36/x
  3. Step 3: Cross multiply
    129,032x = 178,064.16 × 72,443.36
  4. Step 4: Simplify right side
    129,032x = 12,899,566,045.98
  5. Step 5: Solve for x
    x = 12,899,566,045.98/129,032
  6. Step 6: Final answer
    x = 99,971.84

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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.