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Finding the Fourth Proportional to 258,593.36, 387,931.32 and 90,162.12

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Solution

The fourth proportional to 258,593.36, 387,931.32 and 90,162.12 is: 135,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,593.36 : 387,931.32 = 90,162.12 : x
  2. Step 2: Convert to fraction form
    258,593.36/387,931.32 = 90,162.12/x
  3. Step 3: Cross multiply
    258,593.36x = 387,931.32 × 90,162.12
  4. Step 4: Simplify right side
    258,593.36x = 34,976,710,225.60
  5. Step 5: Solve for x
    x = 34,976,710,225.60/258,593.36
  6. Step 6: Final answer
    x = 135,257.57

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1.5x scale

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.