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Finding the Fourth Proportional to 187,530.80, 258,792.57 and 102,649.68

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Solution

The fourth proportional to 187,530.80, 258,792.57 and 102,649.68 is: 141,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,530.80 : 258,792.57 = 102,649.68 : x
  2. Step 2: Convert to fraction form
    187,530.80/258,792.57 = 102,649.68/x
  3. Step 3: Cross multiply
    187,530.80x = 258,792.57 × 102,649.68
  4. Step 4: Simplify right side
    187,530.80x = 26,564,974,496.88
  5. Step 5: Solve for x
    x = 26,564,974,496.88/187,530.80
  6. Step 6: Final answer
    x = 141,656.60

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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.