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Finding the Fourth Proportional to 210,862.32, 316,294.08 and 77,684.88

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Solution

The fourth proportional to 210,862.32, 316,294.08 and 77,684.88 is: 116,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,862.32 : 316,294.08 = 77,684.88 : x
  2. Step 2: Convert to fraction form
    210,862.32/316,294.08 = 77,684.88/x
  3. Step 3: Cross multiply
    210,862.32x = 316,294.08 × 77,684.88
  4. Step 4: Simplify right side
    210,862.32x = 24,571,267,649.51
  5. Step 5: Solve for x
    x = 24,571,267,649.51/210,862.32
  6. Step 6: Final answer
    x = 116,527.54

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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.