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Finding the Fourth Proportional to 145,904.64, 218,896.64 and 62,780.16

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Solution

The fourth proportional to 145,904.64, 218,896.64 and 62,780.16 is: 94,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,904.64 : 218,896.64 = 62,780.16 : x
  2. Step 2: Convert to fraction form
    145,904.64/218,896.64 = 62,780.16/x
  3. Step 3: Cross multiply
    145,904.64x = 218,896.64 × 62,780.16
  4. Step 4: Simplify right side
    145,904.64x = 13,742,366,082.66
  5. Step 5: Solve for x
    x = 13,742,366,082.66/145,904.64
  6. Step 6: Final answer
    x = 94,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.