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Finding the Fourth Proportional to 99,315, 137,054.70 and 54,603

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Solution

The fourth proportional to 99,315, 137,054.70 and 54,603 is: 75,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,315 : 137,054.70 = 54,603 : x
  2. Step 2: Convert to fraction form
    99,315/137,054.70 = 54,603/x
  3. Step 3: Cross multiply
    99,315x = 137,054.70 × 54,603
  4. Step 4: Simplify right side
    99,315x = 7,483,597,784.10
  5. Step 5: Solve for x
    x = 7,483,597,784.10/99,315
  6. Step 6: Final answer
    x = 75,352.14

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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.