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Finding the Fourth Proportional to 113,803.76, 157,065 and 63,506

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Solution

The fourth proportional to 113,803.76, 157,065 and 63,506 is: 87,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,803.76 : 157,065 = 63,506 : x
  2. Step 2: Convert to fraction form
    113,803.76/157,065 = 63,506/x
  3. Step 3: Cross multiply
    113,803.76x = 157,065 × 63,506
  4. Step 4: Simplify right side
    113,803.76x = 9,974,569,890
  5. Step 5: Solve for x
    x = 9,974,569,890/113,803.76
  6. Step 6: Final answer
    x = 87,647.10

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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.