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Finding the Fourth Proportional to 157,091, 235,682.90 and 90,578.84

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Solution

The fourth proportional to 157,091, 235,682.90 and 90,578.84 is: 135,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091 : 235,682.90 = 90,578.84 : x
  2. Step 2: Convert to fraction form
    157,091/235,682.90 = 90,578.84/x
  3. Step 3: Cross multiply
    157,091x = 235,682.90 × 90,578.84
  4. Step 4: Simplify right side
    157,091x = 21,347,883,689.84
  5. Step 5: Solve for x
    x = 21,347,883,689.84/157,091
  6. Step 6: Final answer
    x = 135,895.01

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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.