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Finding the Fourth Proportional to 210,200.64, 315,298.88 and 96,316.20

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Solution

The fourth proportional to 210,200.64, 315,298.88 and 96,316.20 is: 144,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200.64 : 315,298.88 = 96,316.20 : x
  2. Step 2: Convert to fraction form
    210,200.64/315,298.88 = 96,316.20/x
  3. Step 3: Cross multiply
    210,200.64x = 315,298.88 × 96,316.20
  4. Step 4: Simplify right side
    210,200.64x = 30,368,389,985.86
  5. Step 5: Solve for x
    x = 30,368,389,985.86/210,200.64
  6. Step 6: Final answer
    x = 144,473.35

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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.