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Finding the Fourth Proportional to 100,152, 138,214.08 and 55,440

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Solution

The fourth proportional to 100,152, 138,214.08 and 55,440 is: 76,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152 : 138,214.08 = 55,440 : x
  2. Step 2: Convert to fraction form
    100,152/138,214.08 = 55,440/x
  3. Step 3: Cross multiply
    100,152x = 138,214.08 × 55,440
  4. Step 4: Simplify right side
    100,152x = 7,662,588,595.20
  5. Step 5: Solve for x
    x = 7,662,588,595.20/100,152
  6. Step 6: Final answer
    x = 76,509.59

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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.