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Finding the Fourth Proportional to 55,967.80, 77,235.54 and 30,817

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Solution

The fourth proportional to 55,967.80, 77,235.54 and 30,817 is: 42,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967.80 : 77,235.54 = 30,817 : x
  2. Step 2: Convert to fraction form
    55,967.80/77,235.54 = 30,817/x
  3. Step 3: Cross multiply
    55,967.80x = 77,235.54 × 30,817
  4. Step 4: Simplify right side
    55,967.80x = 2,380,167,636.18
  5. Step 5: Solve for x
    x = 2,380,167,636.18/55,967.80
  6. Step 6: Final answer
    x = 42,527.45

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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.