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Finding the Fourth Proportional to 115,493.16, 159,415.98 and 75,135.72

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Solution

The fourth proportional to 115,493.16, 159,415.98 and 75,135.72 is: 103,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,493.16 : 159,415.98 = 75,135.72 : x
  2. Step 2: Convert to fraction form
    115,493.16/159,415.98 = 75,135.72/x
  3. Step 3: Cross multiply
    115,493.16x = 159,415.98 × 75,135.72
  4. Step 4: Simplify right side
    115,493.16x = 11,977,834,436.81
  5. Step 5: Solve for x
    x = 11,977,834,436.81/115,493.16
  6. Step 6: Final answer
    x = 103,710.34

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1.5x scale

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.