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Finding the Fourth Proportional to 97,830, 135,005.40 and 53,118

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Solution

The fourth proportional to 97,830, 135,005.40 and 53,118 is: 73,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830 : 135,005.40 = 53,118 : x
  2. Step 2: Convert to fraction form
    97,830/135,005.40 = 53,118/x
  3. Step 3: Cross multiply
    97,830x = 135,005.40 × 53,118
  4. Step 4: Simplify right side
    97,830x = 7,171,216,837.20
  5. Step 5: Solve for x
    x = 7,171,216,837.20/97,830
  6. Step 6: Final answer
    x = 73,302.84

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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.