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Finding the Fourth Proportional to 97,680, 134,798.40 and 52,968

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Solution

The fourth proportional to 97,680, 134,798.40 and 52,968 is: 73,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680 : 134,798.40 = 52,968 : x
  2. Step 2: Convert to fraction form
    97,680/134,798.40 = 52,968/x
  3. Step 3: Cross multiply
    97,680x = 134,798.40 × 52,968
  4. Step 4: Simplify right side
    97,680x = 7,140,001,651.20
  5. Step 5: Solve for x
    x = 7,140,001,651.20/97,680
  6. Step 6: Final answer
    x = 73,095.84

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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.