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Finding the Fourth Proportional to 152,774.75, 210,829.16 and 85,706.75

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Solution

The fourth proportional to 152,774.75, 210,829.16 and 85,706.75 is: 118,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774.75 : 210,829.16 = 85,706.75 : x
  2. Step 2: Convert to fraction form
    152,774.75/210,829.16 = 85,706.75/x
  3. Step 3: Cross multiply
    152,774.75x = 210,829.16 × 85,706.75
  4. Step 4: Simplify right side
    152,774.75x = 18,069,482,108.83
  5. Step 5: Solve for x
    x = 18,069,482,108.83/152,774.75
  6. Step 6: Final answer
    x = 118,275.32

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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.