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Finding the Fourth Proportional to 210,057.34, 289,931.52 and 125,158

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Solution

The fourth proportional to 210,057.34, 289,931.52 and 125,158 is: 172,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057.34 : 289,931.52 = 125,158 : x
  2. Step 2: Convert to fraction form
    210,057.34/289,931.52 = 125,158/x
  3. Step 3: Cross multiply
    210,057.34x = 289,931.52 × 125,158
  4. Step 4: Simplify right side
    210,057.34x = 36,287,249,180.16
  5. Step 5: Solve for x
    x = 36,287,249,180.16/210,057.34
  6. Step 6: Final answer
    x = 172,749.26

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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.