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Finding the Fourth Proportional to 98,430.94, 135,834.70 and 53,718.94

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Solution

The fourth proportional to 98,430.94, 135,834.70 and 53,718.94 is: 74,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430.94 : 135,834.70 = 53,718.94 : x
  2. Step 2: Convert to fraction form
    98,430.94/135,834.70 = 53,718.94/x
  3. Step 3: Cross multiply
    98,430.94x = 135,834.70 × 53,718.94
  4. Step 4: Simplify right side
    98,430.94x = 7,296,895,625.33
  5. Step 5: Solve for x
    x = 7,296,895,625.33/98,430.94
  6. Step 6: Final answer
    x = 74,132.14

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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.