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Finding the Fourth Proportional to 119,978.72, 180,089.40 and 70,154

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Solution

The fourth proportional to 119,978.72, 180,089.40 and 70,154 is: 105,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978.72 : 180,089.40 = 70,154 : x
  2. Step 2: Convert to fraction form
    119,978.72/180,089.40 = 70,154/x
  3. Step 3: Cross multiply
    119,978.72x = 180,089.40 × 70,154
  4. Step 4: Simplify right side
    119,978.72x = 12,633,991,767.60
  5. Step 5: Solve for x
    x = 12,633,991,767.60/119,978.72
  6. Step 6: Final answer
    x = 105,301.94

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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.