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Finding the Fourth Proportional to 76,655.84, 105,784.18 and 42,663.74

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Solution

The fourth proportional to 76,655.84, 105,784.18 and 42,663.74 is: 58,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655.84 : 105,784.18 = 42,663.74 : x
  2. Step 2: Convert to fraction form
    76,655.84/105,784.18 = 42,663.74/x
  3. Step 3: Cross multiply
    76,655.84x = 105,784.18 × 42,663.74
  4. Step 4: Simplify right side
    76,655.84x = 4,513,148,116.05
  5. Step 5: Solve for x
    x = 4,513,148,116.05/76,655.84
  6. Step 6: Final answer
    x = 58,875.47

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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.