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Finding the Fourth Proportional to 78,368.16, 108,146.12 and 44,832

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Solution

The fourth proportional to 78,368.16, 108,146.12 and 44,832 is: 61,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.16 : 108,146.12 = 44,832 : x
  2. Step 2: Convert to fraction form
    78,368.16/108,146.12 = 44,832/x
  3. Step 3: Cross multiply
    78,368.16x = 108,146.12 × 44,832
  4. Step 4: Simplify right side
    78,368.16x = 4,848,406,851.84
  5. Step 5: Solve for x
    x = 4,848,406,851.84/78,368.16
  6. Step 6: Final answer
    x = 61,867.05

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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.