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Finding the Fourth Proportional to 98,020, 135,269.76 and 53,308

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Solution

The fourth proportional to 98,020, 135,269.76 and 53,308 is: 73,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020 : 135,269.76 = 53,308 : x
  2. Step 2: Convert to fraction form
    98,020/135,269.76 = 53,308/x
  3. Step 3: Cross multiply
    98,020x = 135,269.76 × 53,308
  4. Step 4: Simplify right side
    98,020x = 7,210,960,366.08
  5. Step 5: Solve for x
    x = 7,210,960,366.08/98,020
  6. Step 6: Final answer
    x = 73,566.21

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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.