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Finding the Fourth Proportional to 97,965, 135,044.76 and 76,707.36

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Solution

The fourth proportional to 97,965, 135,044.76 and 76,707.36 is: 105,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,965 : 135,044.76 = 76,707.36 : x
  2. Step 2: Convert to fraction form
    97,965/135,044.76 = 76,707.36/x
  3. Step 3: Cross multiply
    97,965x = 135,044.76 × 76,707.36
  4. Step 4: Simplify right side
    97,965x = 10,358,927,021.43
  5. Step 5: Solve for x
    x = 10,358,927,021.43/97,965
  6. Step 6: Final answer
    x = 105,741.10

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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.