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Finding the Fourth Proportional to 119,784.22, 165,271.80 and 87,897.76

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Solution

The fourth proportional to 119,784.22, 165,271.80 and 87,897.76 is: 121,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,784.22 : 165,271.80 = 87,897.76 : x
  2. Step 2: Convert to fraction form
    119,784.22/165,271.80 = 87,897.76/x
  3. Step 3: Cross multiply
    119,784.22x = 165,271.80 × 87,897.76
  4. Step 4: Simplify right side
    119,784.22x = 14,527,021,011.17
  5. Step 5: Solve for x
    x = 14,527,021,011.17/119,784.22
  6. Step 6: Final answer
    x = 121,276.58

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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.