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Finding the Fourth Proportional to 77,978.98, 107,611.06 and 45,707.16

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Solution

The fourth proportional to 77,978.98, 107,611.06 and 45,707.16 is: 63,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.98 : 107,611.06 = 45,707.16 : x
  2. Step 2: Convert to fraction form
    77,978.98/107,611.06 = 45,707.16/x
  3. Step 3: Cross multiply
    77,978.98x = 107,611.06 × 45,707.16
  4. Step 4: Simplify right side
    77,978.98x = 4,918,595,937.19
  5. Step 5: Solve for x
    x = 4,918,595,937.19/77,978.98
  6. Step 6: Final answer
    x = 63,075.92

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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.