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Finding the Fourth Proportional to 138,671.12, 191,257.32 and 119,582.48

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Solution

The fourth proportional to 138,671.12, 191,257.32 and 119,582.48 is: 164,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671.12 : 191,257.32 = 119,582.48 : x
  2. Step 2: Convert to fraction form
    138,671.12/191,257.32 = 119,582.48/x
  3. Step 3: Cross multiply
    138,671.12x = 191,257.32 × 119,582.48
  4. Step 4: Simplify right side
    138,671.12x = 22,871,024,643.75
  5. Step 5: Solve for x
    x = 22,871,024,643.75/138,671.12
  6. Step 6: Final answer
    x = 164,929.98

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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.