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Finding the Fourth Proportional to 119,140, 178,657.50 and 55,978.08

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Solution

The fourth proportional to 119,140, 178,657.50 and 55,978.08 is: 83,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140 : 178,657.50 = 55,978.08 : x
  2. Step 2: Convert to fraction form
    119,140/178,657.50 = 55,978.08/x
  3. Step 3: Cross multiply
    119,140x = 178,657.50 × 55,978.08
  4. Step 4: Simplify right side
    119,140x = 10,000,903,827.60
  5. Step 5: Solve for x
    x = 10,000,903,827.60/119,140
  6. Step 6: Final answer
    x = 83,942.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.