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Finding the Fourth Proportional to 137,541.16, 189,808.54 and 77,124.84

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Solution

The fourth proportional to 137,541.16, 189,808.54 and 77,124.84 is: 106,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,541.16 : 189,808.54 = 77,124.84 : x
  2. Step 2: Convert to fraction form
    137,541.16/189,808.54 = 77,124.84/x
  3. Step 3: Cross multiply
    137,541.16x = 189,808.54 × 77,124.84
  4. Step 4: Simplify right side
    137,541.16x = 14,638,953,278.13
  5. Step 5: Solve for x
    x = 14,638,953,278.13/137,541.16
  6. Step 6: Final answer
    x = 106,433.25

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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.