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Finding the Fourth Proportional to 137,017.99, 189,060.64 and 76,569.31

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Solution

The fourth proportional to 137,017.99, 189,060.64 and 76,569.31 is: 105,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,017.99 : 189,060.64 = 76,569.31 : x
  2. Step 2: Convert to fraction form
    137,017.99/189,060.64 = 76,569.31/x
  3. Step 3: Cross multiply
    137,017.99x = 189,060.64 × 76,569.31
  4. Step 4: Simplify right side
    137,017.99x = 14,476,242,752.96
  5. Step 5: Solve for x
    x = 14,476,242,752.96/137,017.99
  6. Step 6: Final answer
    x = 105,652.13

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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.