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Finding the Fourth Proportional to 70,782.96, 97,678.68 and 38,516.22

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Solution

The fourth proportional to 70,782.96, 97,678.68 and 38,516.22 is: 53,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.96 : 97,678.68 = 38,516.22 : x
  2. Step 2: Convert to fraction form
    70,782.96/97,678.68 = 38,516.22/x
  3. Step 3: Cross multiply
    70,782.96x = 97,678.68 × 38,516.22
  4. Step 4: Simplify right side
    70,782.96x = 3,762,213,528.19
  5. Step 5: Solve for x
    x = 3,762,213,528.19/70,782.96
  6. Step 6: Final answer
    x = 53,151.40

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1.5x scale

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.