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Finding the Fourth Proportional to 187,113, 258,142.64 and 115,368.48

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Solution

The fourth proportional to 187,113, 258,142.64 and 115,368.48 is: 159,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,113 : 258,142.64 = 115,368.48 : x
  2. Step 2: Convert to fraction form
    187,113/258,142.64 = 115,368.48/x
  3. Step 3: Cross multiply
    187,113x = 258,142.64 × 115,368.48
  4. Step 4: Simplify right side
    187,113x = 29,781,523,999.99
  5. Step 5: Solve for x
    x = 29,781,523,999.99/187,113
  6. Step 6: Final answer
    x = 159,163.31

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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.