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Finding the Fourth Proportional to 137,389.90, 189,411.91 and 117,460.86

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Solution

The fourth proportional to 137,389.90, 189,411.91 and 117,460.86 is: 161,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.90 : 189,411.91 = 117,460.86 : x
  2. Step 2: Convert to fraction form
    137,389.90/189,411.91 = 117,460.86/x
  3. Step 3: Cross multiply
    137,389.90x = 189,411.91 × 117,460.86
  4. Step 4: Simplify right side
    137,389.90x = 22,248,485,842.84
  5. Step 5: Solve for x
    x = 22,248,485,842.84/137,389.90
  6. Step 6: Final answer
    x = 161,936.84

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1.5x scale

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.