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Finding the Fourth Proportional to 78,457.68, 106,823.13 and 78,208.57

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Solution

The fourth proportional to 78,457.68, 106,823.13 and 78,208.57 is: 106,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.68 : 106,823.13 = 78,208.57 : x
  2. Step 2: Convert to fraction form
    78,457.68/106,823.13 = 78,208.57/x
  3. Step 3: Cross multiply
    78,457.68x = 106,823.13 × 78,208.57
  4. Step 4: Simplify right side
    78,457.68x = 8,354,484,026.82
  5. Step 5: Solve for x
    x = 8,354,484,026.82/78,457.68
  6. Step 6: Final answer
    x = 106,483.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.