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Finding the Fourth Proportional to 70,855, 97,779.92 and 39,023.84

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Solution

The fourth proportional to 70,855, 97,779.92 and 39,023.84 is: 53,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,855 : 97,779.92 = 39,023.84 : x
  2. Step 2: Convert to fraction form
    70,855/97,779.92 = 39,023.84/x
  3. Step 3: Cross multiply
    70,855x = 97,779.92 × 39,023.84
  4. Step 4: Simplify right side
    70,855x = 3,815,747,953.29
  5. Step 5: Solve for x
    x = 3,815,747,953.29/70,855
  6. Step 6: Final answer
    x = 53,852.91

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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.