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Finding the Fourth Proportional to 155,314.72, 214,273.36 and 87,316

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Solution

The fourth proportional to 155,314.72, 214,273.36 and 87,316 is: 120,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,314.72 : 214,273.36 = 87,316 : x
  2. Step 2: Convert to fraction form
    155,314.72/214,273.36 = 87,316/x
  3. Step 3: Cross multiply
    155,314.72x = 214,273.36 × 87,316
  4. Step 4: Simplify right side
    155,314.72x = 18,709,492,701.76
  5. Step 5: Solve for x
    x = 18,709,492,701.76/155,314.72
  6. Step 6: Final answer
    x = 120,461.81

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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.