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Finding the Fourth Proportional to 81,783.38, 112,946.74 and 56,355.86

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Solution

The fourth proportional to 81,783.38, 112,946.74 and 56,355.86 is: 77,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,783.38 : 112,946.74 = 56,355.86 : x
  2. Step 2: Convert to fraction form
    81,783.38/112,946.74 = 56,355.86/x
  3. Step 3: Cross multiply
    81,783.38x = 112,946.74 × 56,355.86
  4. Step 4: Simplify right side
    81,783.38x = 6,365,210,666.90
  5. Step 5: Solve for x
    x = 6,365,210,666.90/81,783.38
  6. Step 6: Final answer
    x = 77,830.12

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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.