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Finding the Fourth Proportional to 152,510.16, 210,463.88 and 85,442.64

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Solution

The fourth proportional to 152,510.16, 210,463.88 and 85,442.64 is: 117,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,510.16 : 210,463.88 = 85,442.64 : x
  2. Step 2: Convert to fraction form
    152,510.16/210,463.88 = 85,442.64/x
  3. Step 3: Cross multiply
    152,510.16x = 210,463.88 × 85,442.64
  4. Step 4: Simplify right side
    152,510.16x = 17,982,589,531.84
  5. Step 5: Solve for x
    x = 17,982,589,531.84/152,510.16
  6. Step 6: Final answer
    x = 117,910.76

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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.