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Finding the Fourth Proportional to 187,317.76, 258,500.55 and 102,433

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Solution

The fourth proportional to 187,317.76, 258,500.55 and 102,433 is: 141,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,317.76 : 258,500.55 = 102,433 : x
  2. Step 2: Convert to fraction form
    187,317.76/258,500.55 = 102,433/x
  3. Step 3: Cross multiply
    187,317.76x = 258,500.55 × 102,433
  4. Step 4: Simplify right side
    187,317.76x = 26,478,986,838.15
  5. Step 5: Solve for x
    x = 26,478,986,838.15/187,317.76
  6. Step 6: Final answer
    x = 141,358.66

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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.