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Finding the Fourth Proportional to 187,389.95, 258,602.27 and 102,507

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Solution

The fourth proportional to 187,389.95, 258,602.27 and 102,507 is: 141,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,389.95 : 258,602.27 = 102,507 : x
  2. Step 2: Convert to fraction form
    187,389.95/258,602.27 = 102,507/x
  3. Step 3: Cross multiply
    187,389.95x = 258,602.27 × 102,507
  4. Step 4: Simplify right side
    187,389.95x = 26,508,542,378.36
  5. Step 5: Solve for x
    x = 26,508,542,378.36/187,389.95
  6. Step 6: Final answer
    x = 141,461.93

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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.