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Finding the Fourth Proportional to 76,547.84, 105,635.54 and 42,555.78

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Solution

The fourth proportional to 76,547.84, 105,635.54 and 42,555.78 is: 58,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.84 : 105,635.54 = 42,555.78 : x
  2. Step 2: Convert to fraction form
    76,547.84/105,635.54 = 42,555.78/x
  3. Step 3: Cross multiply
    76,547.84x = 105,635.54 × 42,555.78
  4. Step 4: Simplify right side
    76,547.84x = 4,495,402,906.81
  5. Step 5: Solve for x
    x = 4,495,402,906.81/76,547.84
  6. Step 6: Final answer
    x = 58,726.72

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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.