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Finding the Fourth Proportional to 86,699, 130,048.50 and 21,035

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Solution

The fourth proportional to 86,699, 130,048.50 and 21,035 is: 31,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,699 : 130,048.50 = 21,035 : x
  2. Step 2: Convert to fraction form
    86,699/130,048.50 = 21,035/x
  3. Step 3: Cross multiply
    86,699x = 130,048.50 × 21,035
  4. Step 4: Simplify right side
    86,699x = 2,735,570,197.50
  5. Step 5: Solve for x
    x = 2,735,570,197.50/86,699
  6. Step 6: Final answer
    x = 31,552.50

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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.