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Finding the Fourth Proportional to 157,104.45, 216,935.10 and 145,707.75

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Solution

The fourth proportional to 157,104.45, 216,935.10 and 145,707.75 is: 201,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,104.45 : 216,935.10 = 145,707.75 : x
  2. Step 2: Convert to fraction form
    157,104.45/216,935.10 = 145,707.75/x
  3. Step 3: Cross multiply
    157,104.45x = 216,935.10 × 145,707.75
  4. Step 4: Simplify right side
    157,104.45x = 31,609,125,317.03
  5. Step 5: Solve for x
    x = 31,609,125,317.03/157,104.45
  6. Step 6: Final answer
    x = 201,198.15

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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.