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Finding the Fourth Proportional to 77,922, 107,532.36 and 42,594

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Solution

The fourth proportional to 77,922, 107,532.36 and 42,594 is: 58,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922 : 107,532.36 = 42,594 : x
  2. Step 2: Convert to fraction form
    77,922/107,532.36 = 42,594/x
  3. Step 3: Cross multiply
    77,922x = 107,532.36 × 42,594
  4. Step 4: Simplify right side
    77,922x = 4,580,233,341.84
  5. Step 5: Solve for x
    x = 4,580,233,341.84/77,922
  6. Step 6: Final answer
    x = 58,779.72

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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.