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Finding the Fourth Proportional to 66,457.53, 99,686.30 and 19,710

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Solution

The fourth proportional to 66,457.53, 99,686.30 and 19,710 is: 29,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,457.53 : 99,686.30 = 19,710 : x
  2. Step 2: Convert to fraction form
    66,457.53/99,686.30 = 19,710/x
  3. Step 3: Cross multiply
    66,457.53x = 99,686.30 × 19,710
  4. Step 4: Simplify right side
    66,457.53x = 1,964,816,874.45
  5. Step 5: Solve for x
    x = 1,964,816,874.45/66,457.53
  6. Step 6: Final answer
    x = 29,565

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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.