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Finding the Fourth Proportional to 70,214.88, 96,959.52 and 65,316

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Solution

The fourth proportional to 70,214.88, 96,959.52 and 65,316 is: 90,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.88 : 96,959.52 = 65,316 : x
  2. Step 2: Convert to fraction form
    70,214.88/96,959.52 = 65,316/x
  3. Step 3: Cross multiply
    70,214.88x = 96,959.52 × 65,316
  4. Step 4: Simplify right side
    70,214.88x = 6,333,008,008.32
  5. Step 5: Solve for x
    x = 6,333,008,008.32/70,214.88
  6. Step 6: Final answer
    x = 90,194.67

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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.