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Finding the Fourth Proportional to 97,457.40, 146,113.20 and 53,134.20

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Solution

The fourth proportional to 97,457.40, 146,113.20 and 53,134.20 is: 79,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.40 : 146,113.20 = 53,134.20 : x
  2. Step 2: Convert to fraction form
    97,457.40/146,113.20 = 53,134.20/x
  3. Step 3: Cross multiply
    97,457.40x = 146,113.20 × 53,134.20
  4. Step 4: Simplify right side
    97,457.40x = 7,763,607,991.44
  5. Step 5: Solve for x
    x = 7,763,607,991.44/97,457.40
  6. Step 6: Final answer
    x = 79,661.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.