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Finding the Fourth Proportional to 97,818, 134,988.84 and 53,106

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Solution

The fourth proportional to 97,818, 134,988.84 and 53,106 is: 73,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818 : 134,988.84 = 53,106 : x
  2. Step 2: Convert to fraction form
    97,818/134,988.84 = 53,106/x
  3. Step 3: Cross multiply
    97,818x = 134,988.84 × 53,106
  4. Step 4: Simplify right side
    97,818x = 7,168,717,337.04
  5. Step 5: Solve for x
    x = 7,168,717,337.04/97,818
  6. Step 6: Final answer
    x = 73,286.28

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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.