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Finding the Fourth Proportional to 115,369, 159,064.98 and 96,276.28

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Solution

The fourth proportional to 115,369, 159,064.98 and 96,276.28 is: 132,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,369 : 159,064.98 = 96,276.28 : x
  2. Step 2: Convert to fraction form
    115,369/159,064.98 = 96,276.28/x
  3. Step 3: Cross multiply
    115,369x = 159,064.98 × 96,276.28
  4. Step 4: Simplify right side
    115,369x = 15,314,184,552.67
  5. Step 5: Solve for x
    x = 15,314,184,552.67/115,369
  6. Step 6: Final answer
    x = 132,740.90

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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.