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Finding the Fourth Proportional to 152,769, 210,822.66 and 85,702.44

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Solution

The fourth proportional to 152,769, 210,822.66 and 85,702.44 is: 118,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,769 : 210,822.66 = 85,702.44 : x
  2. Step 2: Convert to fraction form
    152,769/210,822.66 = 85,702.44/x
  3. Step 3: Cross multiply
    152,769x = 210,822.66 × 85,702.44
  4. Step 4: Simplify right side
    152,769x = 18,068,016,369.29
  5. Step 5: Solve for x
    x = 18,068,016,369.29/152,769
  6. Step 6: Final answer
    x = 118,270.18

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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.