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Finding the Fourth Proportional to 86,710, 130,065 and 21,046

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Solution

The fourth proportional to 86,710, 130,065 and 21,046 is: 31,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,710 : 130,065 = 21,046 : x
  2. Step 2: Convert to fraction form
    86,710/130,065 = 21,046/x
  3. Step 3: Cross multiply
    86,710x = 130,065 × 21,046
  4. Step 4: Simplify right side
    86,710x = 2,737,347,990
  5. Step 5: Solve for x
    x = 2,737,347,990/86,710
  6. Step 6: Final answer
    x = 31,569

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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.