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Finding the Fourth Proportional to 105,030.08, 144,965.04 and 66,782.24

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Solution

The fourth proportional to 105,030.08, 144,965.04 and 66,782.24 is: 92,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,030.08 : 144,965.04 = 66,782.24 : x
  2. Step 2: Convert to fraction form
    105,030.08/144,965.04 = 66,782.24/x
  3. Step 3: Cross multiply
    105,030.08x = 144,965.04 × 66,782.24
  4. Step 4: Simplify right side
    105,030.08x = 9,681,090,092.89
  5. Step 5: Solve for x
    x = 9,681,090,092.89/105,030.08
  6. Step 6: Final answer
    x = 92,174.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.