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Finding the Fourth Proportional to 178,071.98, 245,740.77 and 105,478.88

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Solution

The fourth proportional to 178,071.98, 245,740.77 and 105,478.88 is: 145,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,071.98 : 245,740.77 = 105,478.88 : x
  2. Step 2: Convert to fraction form
    178,071.98/245,740.77 = 105,478.88/x
  3. Step 3: Cross multiply
    178,071.98x = 245,740.77 × 105,478.88
  4. Step 4: Simplify right side
    178,071.98x = 25,920,459,961.23
  5. Step 5: Solve for x
    x = 25,920,459,961.23/178,071.98
  6. Step 6: Final answer
    x = 145,561.70

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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.