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Finding the Fourth Proportional to 77,967.99, 107,595.77 and 42,157.98

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Solution

The fourth proportional to 77,967.99, 107,595.77 and 42,157.98 is: 58,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.99 : 107,595.77 = 42,157.98 : x
  2. Step 2: Convert to fraction form
    77,967.99/107,595.77 = 42,157.98/x
  3. Step 3: Cross multiply
    77,967.99x = 107,595.77 × 42,157.98
  4. Step 4: Simplify right side
    77,967.99x = 4,536,020,108.95
  5. Step 5: Solve for x
    x = 4,536,020,108.95/77,967.99
  6. Step 6: Final answer
    x = 58,177.98

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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.