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Finding the Fourth Proportional to 78,415.79, 117,630.05 and 47,040.23

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Solution

The fourth proportional to 78,415.79, 117,630.05 and 47,040.23 is: 70,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.79 : 117,630.05 = 47,040.23 : x
  2. Step 2: Convert to fraction form
    78,415.79/117,630.05 = 47,040.23/x
  3. Step 3: Cross multiply
    78,415.79x = 117,630.05 × 47,040.23
  4. Step 4: Simplify right side
    78,415.79x = 5,533,343,783.56
  5. Step 5: Solve for x
    x = 5,533,343,783.56/78,415.79
  6. Step 6: Final answer
    x = 70,564.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.