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Finding the Fourth Proportional to 210,967.76, 291,134.56 and 115,474.16

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Solution

The fourth proportional to 210,967.76, 291,134.56 and 115,474.16 is: 159,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,967.76 : 291,134.56 = 115,474.16 : x
  2. Step 2: Convert to fraction form
    210,967.76/291,134.56 = 115,474.16/x
  3. Step 3: Cross multiply
    210,967.76x = 291,134.56 × 115,474.16
  4. Step 4: Simplify right side
    210,967.76x = 33,618,518,762.97
  5. Step 5: Solve for x
    x = 33,618,518,762.97/210,967.76
  6. Step 6: Final answer
    x = 159,353.82

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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.