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Finding the Fourth Proportional to 102,003.65, 153,005.48 and 86,913.35

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Solution

The fourth proportional to 102,003.65, 153,005.48 and 86,913.35 is: 130,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.65 : 153,005.48 = 86,913.35 : x
  2. Step 2: Convert to fraction form
    102,003.65/153,005.48 = 86,913.35/x
  3. Step 3: Cross multiply
    102,003.65x = 153,005.48 × 86,913.35
  4. Step 4: Simplify right side
    102,003.65x = 13,298,218,835.16
  5. Step 5: Solve for x
    x = 13,298,218,835.16/102,003.65
  6. Step 6: Final answer
    x = 130,370.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.