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Finding the Fourth Proportional to 130,482.77, 180,055.23 and 72,341.06

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Solution

The fourth proportional to 130,482.77, 180,055.23 and 72,341.06 is: 99,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,482.77 : 180,055.23 = 72,341.06 : x
  2. Step 2: Convert to fraction form
    130,482.77/180,055.23 = 72,341.06/x
  3. Step 3: Cross multiply
    130,482.77x = 180,055.23 × 72,341.06
  4. Step 4: Simplify right side
    130,482.77x = 13,025,386,196.74
  5. Step 5: Solve for x
    x = 13,025,386,196.74/130,482.77
  6. Step 6: Final answer
    x = 99,824.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.