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Finding the Fourth Proportional to 77,888, 107,485.44 and 42,560

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Solution

The fourth proportional to 77,888, 107,485.44 and 42,560 is: 58,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888 : 107,485.44 = 42,560 : x
  2. Step 2: Convert to fraction form
    77,888/107,485.44 = 42,560/x
  3. Step 3: Cross multiply
    77,888x = 107,485.44 × 42,560
  4. Step 4: Simplify right side
    77,888x = 4,574,580,326.40
  5. Step 5: Solve for x
    x = 4,574,580,326.40/77,888
  6. Step 6: Final answer
    x = 58,732.80

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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.