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Finding the Fourth Proportional to 286,501.76, 429,752.21 and 76,139.72

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Solution

The fourth proportional to 286,501.76, 429,752.21 and 76,139.72 is: 114,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,501.76 : 429,752.21 = 76,139.72 : x
  2. Step 2: Convert to fraction form
    286,501.76/429,752.21 = 76,139.72/x
  3. Step 3: Cross multiply
    286,501.76x = 429,752.21 × 76,139.72
  4. Step 4: Simplify right side
    286,501.76x = 32,721,210,409.32
  5. Step 5: Solve for x
    x = 32,721,210,409.32/286,501.76
  6. Step 6: Final answer
    x = 114,209.46

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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.