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Finding the Fourth Proportional to 210,412.80, 315,465.60 and 85,689.60

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Solution

The fourth proportional to 210,412.80, 315,465.60 and 85,689.60 is: 128,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412.80 : 315,465.60 = 85,689.60 : x
  2. Step 2: Convert to fraction form
    210,412.80/315,465.60 = 85,689.60/x
  3. Step 3: Cross multiply
    210,412.80x = 315,465.60 × 85,689.60
  4. Step 4: Simplify right side
    210,412.80x = 27,032,121,077.76
  5. Step 5: Solve for x
    x = 27,032,121,077.76/210,412.80
  6. Step 6: Final answer
    x = 128,471.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.