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Finding the Fourth Proportional to 210,779.82, 316,294.47 and 77,753.58

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Solution

The fourth proportional to 210,779.82, 316,294.47 and 77,753.58 is: 116,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,779.82 : 316,294.47 = 77,753.58 : x
  2. Step 2: Convert to fraction form
    210,779.82/316,294.47 = 77,753.58/x
  3. Step 3: Cross multiply
    210,779.82x = 316,294.47 × 77,753.58
  4. Step 4: Simplify right side
    210,779.82x = 24,593,027,376.70
  5. Step 5: Solve for x
    x = 24,593,027,376.70/210,779.82
  6. Step 6: Final answer
    x = 116,676.38

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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.