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Finding the Fourth Proportional to 66,057.79, 99,038.16 and 21,053.25

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Solution

The fourth proportional to 66,057.79, 99,038.16 and 21,053.25 is: 31,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,057.79 : 99,038.16 = 21,053.25 : x
  2. Step 2: Convert to fraction form
    66,057.79/99,038.16 = 21,053.25/x
  3. Step 3: Cross multiply
    66,057.79x = 99,038.16 × 21,053.25
  4. Step 4: Simplify right side
    66,057.79x = 2,085,075,142.02
  5. Step 5: Solve for x
    x = 2,085,075,142.02/66,057.79
  6. Step 6: Final answer
    x = 31,564.41

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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.