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Finding the Fourth Proportional to 105,424.01, 145,486.78 and 57,678.16

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Solution

The fourth proportional to 105,424.01, 145,486.78 and 57,678.16 is: 79,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.01 : 145,486.78 = 57,678.16 : x
  2. Step 2: Convert to fraction form
    105,424.01/145,486.78 = 57,678.16/x
  3. Step 3: Cross multiply
    105,424.01x = 145,486.78 × 57,678.16
  4. Step 4: Simplify right side
    105,424.01x = 8,391,409,266.81
  5. Step 5: Solve for x
    x = 8,391,409,266.81/105,424.01
  6. Step 6: Final answer
    x = 79,596.75

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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.