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Finding the Fourth Proportional to 180,521.40, 249,128.74 and 99,957.82

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Solution

The fourth proportional to 180,521.40, 249,128.74 and 99,957.82 is: 137,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.40 : 249,128.74 = 99,957.82 : x
  2. Step 2: Convert to fraction form
    180,521.40/249,128.74 = 99,957.82/x
  3. Step 3: Cross multiply
    180,521.40x = 249,128.74 × 99,957.82
  4. Step 4: Simplify right side
    180,521.40x = 24,902,365,749.75
  5. Step 5: Solve for x
    x = 24,902,365,749.75/180,521.40
  6. Step 6: Final answer
    x = 137,946.89

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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.