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Finding the Fourth Proportional to 76,148.36, 105,078.90 and 42,609.80

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Solution

The fourth proportional to 76,148.36, 105,078.90 and 42,609.80 is: 58,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.36 : 105,078.90 = 42,609.80 : x
  2. Step 2: Convert to fraction form
    76,148.36/105,078.90 = 42,609.80/x
  3. Step 3: Cross multiply
    76,148.36x = 105,078.90 × 42,609.80
  4. Step 4: Simplify right side
    76,148.36x = 4,477,390,913.22
  5. Step 5: Solve for x
    x = 4,477,390,913.22/76,148.36
  6. Step 6: Final answer
    x = 58,798.26

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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.