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Finding the Fourth Proportional to 76,430, 105,473.40 and 42,896

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Solution

The fourth proportional to 76,430, 105,473.40 and 42,896 is: 59,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430 : 105,473.40 = 42,896 : x
  2. Step 2: Convert to fraction form
    76,430/105,473.40 = 42,896/x
  3. Step 3: Cross multiply
    76,430x = 105,473.40 × 42,896
  4. Step 4: Simplify right side
    76,430x = 4,524,386,966.40
  5. Step 5: Solve for x
    x = 4,524,386,966.40/76,430
  6. Step 6: Final answer
    x = 59,196.48

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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.