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Finding the Fourth Proportional to 157,083.40, 235,625.10 and 154,491.40

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Solution

The fourth proportional to 157,083.40, 235,625.10 and 154,491.40 is: 231,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.40 : 235,625.10 = 154,491.40 : x
  2. Step 2: Convert to fraction form
    157,083.40/235,625.10 = 154,491.40/x
  3. Step 3: Cross multiply
    157,083.40x = 235,625.10 × 154,491.40
  4. Step 4: Simplify right side
    157,083.40x = 36,402,051,574.14
  5. Step 5: Solve for x
    x = 36,402,051,574.14/157,083.40
  6. Step 6: Final answer
    x = 231,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.