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Finding the Fourth Proportional to 76,746.68, 105,918 and 44,913.68

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Solution

The fourth proportional to 76,746.68, 105,918 and 44,913.68 is: 61,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746.68 : 105,918 = 44,913.68 : x
  2. Step 2: Convert to fraction form
    76,746.68/105,918 = 44,913.68/x
  3. Step 3: Cross multiply
    76,746.68x = 105,918 × 44,913.68
  4. Step 4: Simplify right side
    76,746.68x = 4,757,167,158.24
  5. Step 5: Solve for x
    x = 4,757,167,158.24/76,746.68
  6. Step 6: Final answer
    x = 61,985.32

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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.