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Finding the Fourth Proportional to 180,527.81, 249,136.16 and 99,955.32

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Solution

The fourth proportional to 180,527.81, 249,136.16 and 99,955.32 is: 137,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,527.81 : 249,136.16 = 99,955.32 : x
  2. Step 2: Convert to fraction form
    180,527.81/249,136.16 = 99,955.32/x
  3. Step 3: Cross multiply
    180,527.81x = 249,136.16 × 99,955.32
  4. Step 4: Simplify right side
    180,527.81x = 24,902,484,096.59
  5. Step 5: Solve for x
    x = 24,902,484,096.59/180,527.81
  6. Step 6: Final answer
    x = 137,942.65

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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.