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Finding the Fourth Proportional to 105,415.93, 145,473.47 and 57,668.41

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Solution

The fourth proportional to 105,415.93, 145,473.47 and 57,668.41 is: 79,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,415.93 : 145,473.47 = 57,668.41 : x
  2. Step 2: Convert to fraction form
    105,415.93/145,473.47 = 57,668.41/x
  3. Step 3: Cross multiply
    105,415.93x = 145,473.47 × 57,668.41
  4. Step 4: Simplify right side
    105,415.93x = 8,389,223,423.74
  5. Step 5: Solve for x
    x = 8,389,223,423.74/105,415.93
  6. Step 6: Final answer
    x = 79,582.12

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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.