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Finding the Fourth Proportional to 93,123, 128,509.74 and 50,681.84

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Solution

The fourth proportional to 93,123, 128,509.74 and 50,681.84 is: 69,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,123 : 128,509.74 = 50,681.84 : x
  2. Step 2: Convert to fraction form
    93,123/128,509.74 = 50,681.84/x
  3. Step 3: Cross multiply
    93,123x = 128,509.74 × 50,681.84
  4. Step 4: Simplify right side
    93,123x = 6,513,109,438.57
  5. Step 5: Solve for x
    x = 6,513,109,438.57/93,123
  6. Step 6: Final answer
    x = 69,940.93

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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.