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Finding the Fourth Proportional to 78,693.58, 117,205.66 and 78,312.22

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Solution

The fourth proportional to 78,693.58, 117,205.66 and 78,312.22 is: 116,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,693.58 : 117,205.66 = 78,312.22 : x
  2. Step 2: Convert to fraction form
    78,693.58/117,205.66 = 78,312.22/x
  3. Step 3: Cross multiply
    78,693.58x = 117,205.66 × 78,312.22
  4. Step 4: Simplify right side
    78,693.58x = 9,178,635,431.17
  5. Step 5: Solve for x
    x = 9,178,635,431.17/78,693.58
  6. Step 6: Final answer
    x = 116,637.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.