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Finding the Fourth Proportional to 113,990.30, 157,328.30 and 75,159.82

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Solution

The fourth proportional to 113,990.30, 157,328.30 and 75,159.82 is: 103,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,990.30 : 157,328.30 = 75,159.82 : x
  2. Step 2: Convert to fraction form
    113,990.30/157,328.30 = 75,159.82/x
  3. Step 3: Cross multiply
    113,990.30x = 157,328.30 × 75,159.82
  4. Step 4: Simplify right side
    113,990.30x = 11,824,766,208.49
  5. Step 5: Solve for x
    x = 11,824,766,208.49/113,990.30
  6. Step 6: Final answer
    x = 103,734.84

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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.