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Finding the Fourth Proportional to 105,047.84, 144,963.28 and 57,301.92

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Solution

The fourth proportional to 105,047.84, 144,963.28 and 57,301.92 is: 79,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.84 : 144,963.28 = 57,301.92 : x
  2. Step 2: Convert to fraction form
    105,047.84/144,963.28 = 57,301.92/x
  3. Step 3: Cross multiply
    105,047.84x = 144,963.28 × 57,301.92
  4. Step 4: Simplify right side
    105,047.84x = 8,306,674,273.50
  5. Step 5: Solve for x
    x = 8,306,674,273.50/105,047.84
  6. Step 6: Final answer
    x = 79,075.16

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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.