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Finding the Fourth Proportional to 152,903, 211,006.26 and 85,856.60

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Solution

The fourth proportional to 152,903, 211,006.26 and 85,856.60 is: 118,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,903 : 211,006.26 = 85,856.60 : x
  2. Step 2: Convert to fraction form
    152,903/211,006.26 = 85,856.60/x
  3. Step 3: Cross multiply
    152,903x = 211,006.26 × 85,856.60
  4. Step 4: Simplify right side
    152,903x = 18,116,280,062.32
  5. Step 5: Solve for x
    x = 18,116,280,062.32/152,903
  6. Step 6: Final answer
    x = 118,482.18

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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.