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Finding the Fourth Proportional to 119,856.51, 165,330.72 and 77,440.05

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Solution

The fourth proportional to 119,856.51, 165,330.72 and 77,440.05 is: 106,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856.51 : 165,330.72 = 77,440.05 : x
  2. Step 2: Convert to fraction form
    119,856.51/165,330.72 = 77,440.05/x
  3. Step 3: Cross multiply
    119,856.51x = 165,330.72 × 77,440.05
  4. Step 4: Simplify right side
    119,856.51x = 12,803,219,223.34
  5. Step 5: Solve for x
    x = 12,803,219,223.34/119,856.51
  6. Step 6: Final answer
    x = 106,821.23

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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.