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Finding the Fourth Proportional to 55,646.04, 76,789.98 and 30,495

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Solution

The fourth proportional to 55,646.04, 76,789.98 and 30,495 is: 42,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646.04 : 76,789.98 = 30,495 : x
  2. Step 2: Convert to fraction form
    55,646.04/76,789.98 = 30,495/x
  3. Step 3: Cross multiply
    55,646.04x = 76,789.98 × 30,495
  4. Step 4: Simplify right side
    55,646.04x = 2,341,710,440.10
  5. Step 5: Solve for x
    x = 2,341,710,440.10/55,646.04
  6. Step 6: Final answer
    x = 42,082.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.