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Finding the Fourth Proportional to 98,138, 135,430.62 and 53,426

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Solution

The fourth proportional to 98,138, 135,430.62 and 53,426 is: 73,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,138 : 135,430.62 = 53,426 : x
  2. Step 2: Convert to fraction form
    98,138/135,430.62 = 53,426/x
  3. Step 3: Cross multiply
    98,138x = 135,430.62 × 53,426
  4. Step 4: Simplify right side
    98,138x = 7,235,516,304.12
  5. Step 5: Solve for x
    x = 7,235,516,304.12/98,138
  6. Step 6: Final answer
    x = 73,727.98

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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.